Q. 7 - Precalculus Enhanced with Graphing Utilities

Question

Find the value of the determinant.

$\left|\begin{array}{cc}6& 4\\ -1& 3\end{array}\right|$

Step-by-Step Solution

Answer

$\left|\begin{array}{cc}6& 4\\ -1& 3\end{array}\right|=22$

Step 1. Given information

We have been given:

$\left|\begin{array}{cc}6& 4\\ -1& 3\end{array}\right|$

We have to find the value of this determinant. 

Step 2. Use formula D = a b c d = a d - b c .

$$\begin{gathered} \left|\begin{array}{cc}6& 4\\ -1& 3\end{array}\right|=6\times 3-(-1)\times 4 \\ =18+4 \\ =22 \end{gathered}$$